What is the 796th prime number?
The 796th prime number is 6101. The next prime is 6113 (a gap of 12) and the one before is 6091.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 796th one is 6101.
- 2
6101 is prime because no prime up to ā6101 ā 78.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 796th prime is close to 796 Ć ln(796) ā 5317, and here it is 6101.
- 4
6101 has no twin: neither 6099 nor 6103 is prime.
Primes around the 796th
| Position | Prime | Gap from the previous |
|---|---|---|
| 793 | 6079 | 6 |
| 794 | 6089 | 10 |
| 795 | 6091 | 2 |
| 796 | 6101 | 10 |
| 797 | 6113 | 12 |
| 798 | 6121 | 8 |
| 799 | 6131 | 10 |
Questions
What is the 796th prime number?
6101.
Which prime number is 6101?
6101 is the 796th prime number.
What is the sum of the first 796 primes?
2,253,461.